If by "incontinent" you mean someone who has a chronic loss of control of the bladder, then the answer is no. The Gemara seems to be referring to someone who normally has bladder control and when he started davening he had no reason to believe he would start urinating in the middle of his Tefilah. The Rema in a responsum (#98) deals with the case of someone that has chronic loss of control of the bladder and he rules that such a person is allowed to Daven even though he knows that he won't be able to get through the entire Tefilah without urinating (with the following conditions: that he not Daven at the moment that he is actually urinating, that he not start Davening if he has the urge to urinate, and that he wear some kind of absorbent cloth that will absorb whatever he releases) (his ruling is recorded by the Magen Avraham and the Mishnah Berurah 78:7).

The Halachah for the person who loses control of his bladder during Davening is brought down in the Shulchan Aruch (OC 78:1). The Halachah depends on whether the person is in the middle of Shemoneh Esrei or in the middle of Keri'as Shema. During Shemoneh Esrei, when the person should not move around, he is only required to wait until he finishes urinating. Only when he is actually urinating is there a Torah prohibition to Daven. Davening near a puddle of urine or when there is urine on one's clothes is only a Rabbinic prohibition. Since the person has already started his Shemoneh Esrei, the Chachamim did not require him to stop and clean himself off (Tosfos, Berachos 22b).

If the person is in the middle of Keri'as Shema (and certainly in other areas of the Davening other than Shemoneh Esrei) he is required to move away from the urine on the floor and to cover any clothing that got wet with a dry piece of clothing.

Kol Tuv,

Yonasan Sigler